BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-70-164 ENTRY:: November 06, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: "Estimates of the Roundoff Error in the Solution of a System of Conditional Equations" by V. I. Gordonova TYPE:: Technical Report AUTHOR:: Gordonova, V. I. AUTHOR:: Kaufman, Linda C. DATE:: June 1970 PAGES:: 22 ABSTRACT:: Using backward error analysis, this paper compares the roundoff error in the least-squares solution of a system of conditional equations Ax=f by two different methods. The first one entails solving the normal equations $A^T$Ax=$A^T$f and the second is one proposed by Faddeev, Faddeeva, and Kublanovskaya in 1966. This latter method involves multiplying the system by orthogonal matrices to transform the matrix A into upper triangular form. Translated by Linda Kaufman. NOTES:: [Adminitrivia V1/Prg/19951106] END:: STAN//CS-TR-70-164